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In the following question a statement of...

In the following question a statement of assertion (A) is followed by a statement of reason (R )
A : Electric potential of a positively charged body may be negative.
R : The potential of a conductor does not depend on the charge of the conductor.

A

If both Assertion & Reason are true and the reason is the correct explanation of the assertion , then mark (1).

B

If both Assertion & Reason are true but the reason is not correct explanation of the assertion then mark (2)

C

If Assertion is true statement but Reason is false, then mark (3)

D

If both Assertion and Reason are false statements , then mark (4).

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the statements of assertion (A) and reason (R), we will break down the concepts involved and provide a step-by-step solution. ### Step-by-Step Solution: 1. **Understanding Assertion (A)**: - The assertion states that "Electric potential of a positively charged body may be negative." - Electric potential (V) at a point due to a charge is given by the formula: \[ V = \frac{kQ}{r} \] where \(k\) is Coulomb's constant, \(Q\) is the charge, and \(r\) is the distance from the charge to the point where the potential is being measured. - A positively charged body can have a negative potential if it is influenced by other nearby charges, especially if those charges are negative and their influence is stronger than that of the positive charge. 2. **Understanding Reason (R)**: - The reason states that "The potential of a conductor does not depend on the charge of the conductor." - This statement is incorrect. The potential of a conductor is influenced by the amount of charge it carries. The potential at the surface of a charged conductor is uniform and is given by the formula: \[ V = \frac{kQ}{R} \] where \(R\) is the radius of the conductor. Thus, the potential does depend on the charge \(Q\). 3. **Conclusion**: - The assertion (A) is correct because a positively charged body can indeed have a negative electric potential due to the influence of other charges. - The reason (R) is incorrect because the potential of a conductor does depend on the charge it carries. - Therefore, the correct answer is that assertion is true, but the reason is false. ### Final Answer: - Assertion (A) is true, and Reason (R) is false. ---
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